Expand. If necessary, combine like terms. (7+x)(7-x)=

Identify special case: Identify the special case that applies here. (7+x)(7-x) is in the form of (a + b)(a - b). Special case: (a + b)(a - b) = a^2 - b^2Identify values of a and b: Identify the values of a and b. Compare (7+x)(7-x) with (a + b)(a - b). a = 7 b = xApply difference of squares: Apply the difference of squares to expand (7+x)(7-x). (a + b)(a - b) = a^2 - b^2 (7+x)(7-x) = 7^2 - x^2Simplify expression: Simplify 7^2 - x^2. 7^2 - x^2 = 49 - x^2

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Expand. If necessary, combine like terms.

(7+x)(7-x)=

Expand. If necessary, combine like terms. $\newline$ $(7+x)(7-x)=$

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Algebra 1

Multiply two binomials: special cases

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Q. Expand. If necessary, combine like terms.

\newline

(7+x)(7-x)=

Identify special case: Identify the special case that applies here. $\newline$ $(7+x)(7-x)$ is in the form of $(a + b)(a - b)$ . $\newline$ Special case: $(a + b)(a - b) = a^2 - b^2$
Identify values of a and b: Identify the values of $a$ and $b$ . Compare $(7+x)(7-x)$ with $(a + b)(a - b)$ . $a = 7$ $b = x$
Apply difference of squares: Apply the difference of squares to expand $(7+x)(7-x)$ . $\newline$ $(a + b)(a - b) = a^2 - b^2$ $\newline$ $(7+x)(7-x) = 7^2 - x^2$
Simplify expression: Simplify $7^2 - x^2$ . $\newline$ $7^2 - x^2 = 49 - x^2$